Question 25
A disphenoid is a tetrahedron whose triangular faces are congruent to one another. What is the least total surface area of a disphenoid whose faces are scalene triangles with integer side lengths?
(A) $\sqrt{3}$ (B) $3\sqrt{15}$ (C) 15 (D) $15\sqrt{7}$ (E) $24\sqrt{6}$
(A) $\sqrt{3}$ (B) $3\sqrt{15}$ (C) 15 (D) $15\sqrt{7}$ (E) $24\sqrt{6}$